Integrability and -convergence of Rees-Stanojević sums with generalized semi-convex coefficients of non-integral orders
Archivum Mathematicum (2005)
- Volume: 041, Issue: 4, page 423-437
- ISSN: 0044-8753
Access Full Article
top
Abstract
topHow to cite
topKaur, Kulwinder. "Integrability and $L^1$-convergence of Rees-Stanojević sums with generalized semi-convex coefficients of non-integral orders." Archivum Mathematicum 041.4 (2005): 423-437. <http://eudml.org/doc/249505>.
@article{Kaur2005,
abstract = {Integrability and $L^\{1\}-$convergence of modified cosine sums introduced by Rees and Stanojević under a class of generalized semi-convex null coefficients are studied by using Cesàro means of non-integral orders.},
author = {Kaur, Kulwinder},
journal = {Archivum Mathematicum},
keywords = {$L^\{1\}$-convergences; Cesàro means; conjugate Cesàro mean; semi-convex null coefficients; generalized semi-convex null coefficients; Fourier cosine series; conjugate Cesàro mean; Fourier cosine series},
language = {eng},
number = {4},
pages = {423-437},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Integrability and $L^1$-convergence of Rees-Stanojević sums with generalized semi-convex coefficients of non-integral orders},
url = {http://eudml.org/doc/249505},
volume = {041},
year = {2005},
}
TY - JOUR
AU - Kaur, Kulwinder
TI - Integrability and $L^1$-convergence of Rees-Stanojević sums with generalized semi-convex coefficients of non-integral orders
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 4
SP - 423
EP - 437
AB - Integrability and $L^{1}-$convergence of modified cosine sums introduced by Rees and Stanojević under a class of generalized semi-convex null coefficients are studied by using Cesàro means of non-integral orders.
LA - eng
KW - $L^{1}$-convergences; Cesàro means; conjugate Cesàro mean; semi-convex null coefficients; generalized semi-convex null coefficients; Fourier cosine series; conjugate Cesàro mean; Fourier cosine series
UR - http://eudml.org/doc/249505
ER -
References
top- Andersen A. F., On extensions within the theory of Cesàro summability of a classical convergence theorem of Dedekind, Proc. London Math. Soc. 8 (1958), 1–52. (1958) MR0092880
- Bosanquet L. S., Note on the Bohr-Hardy theorem, J. London Math. Soc. 17 (1942), 166–173. (1942) Zbl0028.14901MR0007800
- Bosanquet L. S., Note on convergence and summability factors (III), Proc. London Math. Soc. (1949), 482–496. (1949) Zbl0032.40402MR0027872
- Garrett J. W., Stanojević Č. V., On integrability and -convergence of certain cosine sums, Notices, Amer. Math. Soc. 22 (1975), A–166. (1975) MR2625039
- Garrett J. W., Stanojević Č. V., On -convergence of certain cosine sums, Proc. Amer. Math. Soc. 54 (1976), 101–105. (1976) MR0394002
- Kano T., Coefficients of some trigonometric series, J. Fac. Sci. Shihshu University 3 (1968), 153–162. (1968) Zbl0321.42008MR0271615
- Kaur K., Bhatia S. S., Integrability and L-convergence of Rees-Stanojević sums with generalized semi-convex coefficients, Int. J. Math. Math. Sci. 30(11) (2002), 645–650. MR1916824
- Kolmogorov A. N., Sur l’ordere de grandeur des coefficients de la series de Fourier–Lebesque, Bull. Polon. Sci. Ser. Sci. Math. Astronom. Phys. (1923) 83–86. (1923)
- Young W. H., On the Fourier series of bounded functions, Proc. London Math. Soc. 12(2) (1913), 41–70. (1913)
- Zygmund A., Trigonometric series, Volume 1, Vol. II, Cambridge University Press. Zbl1084.42003
Citations in EuDML Documents
topNotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.